Rédei, Miklós (2010) Operational independence and operational separability in algebraic quantum mechanics. Foundations of physics, 40 (9-10). pp. 1439-1449. ISSN 0015-9018
Abstract
Recently, new types of independence of a pair of C (*)- or W (*)-subalgebras (A(1,) A(2)) of a C (*)- or W (*)-algebra have been introduced: operational C (*)- and W (*)-independence (Redei and Summers, http://arxiv.org/abs/0810.5294, 2008) and operational C (*)- and W (*)-separability (Redei and Valente, How local are local operations in local quantum field theory? 2009). In this paper it is shown that operational C (*)-independence is equivalent to operational C (*)-separability and that operational W (*)-independence is equivalent to operational W (*)-separability. Specific further sub-types of both operational C (*)- and W (*)-separability and operational C (*)- and W (*)-independence are defined and the problem of characterization of the logical interdependencies of the independence notions is raised.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.springer.com/physics/history+%26+philos... |
| Additional Information: | © 2010 Springer |
| Uncontrolled Keywords: | Operator algebras, Independence, Quantum mechanics, isi |
| Library of Congress subject classification: | Q Science > QA Mathematics |
| Sets: | Departments > Philosophy, Logic and Scientific Method |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| Identification Number: | UT ISI:000282322400020 |
| URL: | http://eprints.lse.ac.uk/29719/ |
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